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lions [1.4K]
3 years ago
8

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

Mathematics
1 answer:
frez [133]3 years ago
3 0
<span>You have to calculate two separate measures, one for each set.The mean-to-MAD ratio is the mean divided by the MAD, i. e. mean / MAD. For the set 1, mean = 10.7 and MAD = 2.4, then mean / MAD = 10.7 / 2.4 = 4.4583. For the set 2, mean = 13.7 and MAD is 2.5, so mean/ MAD = 13.7 / 2.5 = 5.480.</span>
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What is x given ABC~DBE.<br> Show your work
alexandr1967 [171]

x = 37.5 (or) \frac{75}{2}

Solution:

Given \triangle A B C \sim \triangle D B E

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\frac{BE}{BC} =\frac{DE}{AC}

$\frac{x}{25+x} =\frac{30}{50}

Do cross multiplication, we get

50x=30(25+x)

50x=750+30x

Subtract 30x from both sides of the equation.

20x=750

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) \frac{75}{2}

Hence the value of x is 37.5 or \frac{75}{2}.

5 0
3 years ago
Last night, the temperature fell from 0°F to –131 5 in 42 5 hours. What was the average temperature change per hour? Solve the d
Tcecarenko [31]

Answer:

-3.09 per hour

Step-by-step explanation:

if you mean that it went down from 0° to -131.5° in 42.5 hours, divide -131.5 by 42.5 (-131.5/42.5) which gives 3.09

6 0
2 years ago
Read 2 more answers
A rectangular box has faces with areas of 12,15, and 20 square units. What is the volume of the box?
miv72 [106K]
First find the side lengths of the box by factoring each area:

12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20

Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:

12: 3 * 4
15: 3 * 5
20: 4 * 5

Sides: 3, 4, and 5

Then multiply to get the volume:

3 * 4 * 5 = 60 units^2

6 0
3 years ago
Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 7.3 ft. Round your answer to t
lora16 [44]

Answer:

The answer to your question is 658.2 ft³

Step-by-step explanation:

Data

Volume = x

height = 11.8 ft

radius = 7.3 ft

Formula

Volume of a cone = 1/3πr²h

Process

1.- Calculate the volume

Volume = 1/3(3.14)(7.3)²(11.8)

Volume = 1/3(3.14)(7.3)²(11.8)

Volume = 1/3(3.14)(53.29)(11.8)

Volume = 1/3(1974.5)

Rounded to the nearest tenth

Volume =  658.2 ft³

3 0
3 years ago
Simplify (2x - 2y) (2y + 8) =?
Alika [10]

Answer:

it is 4xy-4y^2+16x-16y

Step-by-step explanation:

My method is to "square them"

2x.          -2y.      

                         2y

                         8

2x * 2y

2x * 8

-2y*2y

-2y * 8

and add all the products together

6 0
3 years ago
Read 2 more answers
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